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function []=gk(n,myeps)
%clear
format longEng
%A = skewdec(n,n);
%r=max(A);
%s=max(r);
%A=A/s
A=myunifskew(n);
A;
[f,g]=size(myeps);
for KK=1:g
eps = myeps(KK);
%xlswrite('output.xls', A,'skew-symmetric-matrix A')
e=ones(n,1);
X=zeros(n,1);
U=zeros(n,1);
p=e/n;
t=0;
%tm=U/t
stop=0;
iter=0;
tic
while(stop~=1)
t=t+1;
iter=t;
%iteration number
if rem(iter, 100) == 0
disp(iter)
end
iter ;
%cumsum = zeros(n,1);
for i=1:n
cumsum(i)=sum(p(1:i));
end
%zi=rand(n,1);
con=0;
marker=rand;
k=1;
%while con~=1
for i=2:n
if cumsum(i-1)<=marker && marker<=cumsum(i)
k=i;
break;
%con=1;
end
end
%end
X(k)=X(k)+1;
for i=1:n
U(i)=U(i)+A(i,k);
end
s= (sum(p(1:n).*exp((eps/2)*A(1:n,k))));
for i=1:n
p(i)=(p(i)*exp((eps/2)*A(i,k))) / s;
end
p;
%FID=fopen('output.txt', 'a');
%C=fwrite(FID,p);
%fclose(FID);
u=U/t;
if u<=eps*e
stop=1;
x=X/t;
end
%disp('hello')
end
iter;
x;
toc
time(KK)=toc;
iteration(KK) = iter;
etx=sum(x)
AX=A*X;
error=abs(AX)-abs(U);
error;
sum(error)
if A*x <= eps*e
disp(' Ax <= eps*e ')
end
if error<10^-8
disp('Assertion condition is satisfied i.e. AX-U<10^-8')
else
disp('Error: AX-U<10^-8 not satisfied ')
end
disp('Time for');
disp(eps);
disp('is');
disp(time(KK));
disp('Number of iteration is ');
disp(iteration(KK));
end
disp('Epsilon vector is ');
disp(myeps);
disp('time vector is');
disp(time);
disp('Iteration Vector is');
disp(iteration);
out = [myeps; time; iteration];
disp('Epsilon-Time-Iteration tradeoff');
disp(out);
%save outputallvar.mat
%save outputdat.dat A -ASCII
%xlswrite('outputxls.xls', out,'eps-time-iterations GK')
%{
xlswrite('output.xls', p,'Probability p')
xlswrite('output.xls', b,'Stp crt Udivt')
xlswrite('output.xls', x,'Opt sol x')
xlswrite('output.xls', time,'Time Taken')
xlswrite('output.xls', iter,'no of iteration')
xlswrite('output.xls',error ,'Error')
%}
function [a]=myunifskew(n)
%a=rand(n)
%{
for i=1:n
a(i,i)=0;
end
%}
a=zeros(n);
disp('a(i,j) initialized with zeros');
for i=1:n
for j=1:i-1
temp=rand;
if (temp < 0.5 )
a(i,j)= rand;
a(j,i)= -a(i,j);
else
a(j,i)= rand;
a(i,j)= -a(j,i);
end
end
if rem(i,1000) == 0
disp(i)
end
end
%{
if a == -a'
display('Skew symmetric MATRIX CREATED');
end
%}
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